Math 1210-007
Midterm #1
Fall 2010
October 4th, 2010
Midterm #1: Limits & Derivatives
Instructions: This exam is closed book, closed notes and closed homework. You
may use a calculator to assist you with any arithmetic. It is not necessary to show
your work for multiple choice questions, simply circle the letter corresponding to
the correct answer. For all other questions, please show all of your work to the
level of detail that is specified in the instructions for that particular problem. You
MUST write your final answer in the space provided to receive full credit. You
may turn in your exam and leave when you finish.
Recommendation: You do not need to work on these problems in order. I would
suggest first answering the ones you find the easiest. Then go back and work on
the harder ones at the end. Also, if you finish early I would suggest double
checking all of your work, just in case you made a few very simple mistakes.
Name: ____________________________________
Math 1210-007
Midterm #1
Fall 2010
October 4th, 2010
Multiple Choice Section
Directions: Please circle the letter corresponding to the correct answer. Each question is worth
5 points.
[Picture of a graph]
[There will be FIVE questions in the multiple choice section each of which asks about certain
properties of a function that is graphed for you, but for which you are not given an explicit
formula]
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Free Response Section
Directions: Show all of your work when answering these questions and write your final answer
in the space provided. You do NOT need to simplify your answers algebraically unless the
question specifically asks you to do so. Each question is worth 15 points. Most of the credit will
be awarded for doing the calculus correctly and showing the appropriate steps. A correct final
answer with no work supporting it will receive very few points!! You MUST write your final
answer in the space provided to receive full credit!
[There will be FIVE free response questions, some of which have multiple parts. There is a box
next to each part of each question in which you will write your final answer.]
Example:
1.
Assume
. Then
Note: For the above example you would write your final answer in the box, but you need to
show your work in the space below the question. In this case you would need to demonstrate
that you know how to use the chain rule properly.
Note: The above example would most likely represent one part of one question where you are
asked to calculate several derivatives. The test should take the entire 50 minutes for most
students.
YOU MUST WRITE YOUR FINAL ANSWER IN THE BOX TO RECEIVE FULL CREDIT!!